Answer:
Mental health includes our emotional, psychological, and social well-being. It affects how we think, feel, and act. It also helps determine how we handle stress, relate to others, and make healthy choices. Mental health is important at every stage of life, from childhood and adolescence through adulthood
Explanation:
Answer:
The magnitude of the rate of change of the child's momentum is 794.11 N.
Explanation:
Given that,
Mass of child = 27 kg
Speed of child in horizontal = 10 m/s
Length = 3.40 m
There is a rate of change of the perpendicular component of momentum.
Centripetal force acts always towards the center.
We need to calculate the magnitude of the rate of change of the child's momentum
Using formula of momentum


Put the value into the formula


Hence, The magnitude of the rate of change of the child's momentum is 794.11 N.
Answer: :)
1.) The Doppler effect is, the change in sound or light that occurs whenever there is motion between the source and its observer. The siren of the fire engine has a lower pitch as it moves away because the waves are now spread out causing a lower frequency and a lower pitch.
2.) Wave frequency is related to wave energy. Since all that waves really are is traveling energy, the more energy in a wave, the higher its frequency. The lower the frequency is, the less energy in the wave.
Answer:
(a) 
(b) 
Explanation:
Given:
- density of hydraulic oil,

- radius of input piston,

- radius of output plunger,

- force to be supported,

(a)
<u><em>Condition:</em></u><em>The bottom surfaces of piston and plunger at the same level.</em>
According to Pascal's law the pressure of a fluid is exerted equally in all directions against the walls of its container.
Mathematically:

putting respective values



(b)
<u><em>Condition:</em></u><em>The bottom surface of the output plunger is 1.30 m above that of the input piston.</em>
Given:

Now,



From the given information:
- Taking the movement of the Duck in the North as the x-direction
- The movement of the Duck in the East direction as the y-direction
However, we will have to compute the initial velocity and the acceleration of the duck in their vector forms.
<h3>In vector form;</h3>
The initial velocity is:

The acceleration is:

The objective of this question is to determine the speed of the duck at a certain time. Since it is not given, let's assume we are to determine the Duck speed after 4 seconds of accelerating;
Then, it implies that time (t) = 4 seconds.
Using the first equation of motion:

Then, we can replace their values into the equation of motion in order to determine the speed:



Collect like terms:


Thus, the magnitude is:




Therefore, we can conclude that the speed of the duck after 4 seconds is 1.34 m/s
Learn more about vectors here:
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